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Finding the Fourth Proportional to 710.88, 1,066.44 and 402.60

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Solution

The fourth proportional to 710.88, 1,066.44 and 402.60 is: 603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 1,066.44 = 402.60 : x
  2. Step 2: Convert to fraction form
    710.88/1,066.44 = 402.60/x
  3. Step 3: Cross multiply
    710.88x = 1,066.44 × 402.60
  4. Step 4: Simplify right side
    710.88x = 429,348.74
  5. Step 5: Solve for x
    x = 429,348.74/710.88
  6. Step 6: Final answer
    x = 603.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.